Question

7 Here is a six-sided shape.

X +9
x + 2
x+6
2x-4
All the measurements are in centimetres. All the corners are right angles.
The perimeter of the shape is 94 cm.
Work out the value of x.
You must show your working.

Answer 1

To find the value of x, we need to add up all the sides of the shape and set them equal to the perimeter:

x + 9 + x + 2 + x + 6 + 2x - 4 = 94

Combining like terms, we get:

5x + 13 = 94

Subtracting 13 from both sides, we get:

5x = 81

Dividing both sides by 5, we get:

x = 16.2

Therefore, the value of x is 16.2 cm.

Explanation: